# Courses

## Courses in the academic year 2022/23

1 in parenthesis means first semester (October-January), 2 means second semester (February-June)- Analysis:
- Introduction to functional analysis (1), Operator theory (2), Partial differential equations (2)
- Algebra and discrete mathematics:
- Topics in algebra (1), Graph theory (1), Topics in discrete mathematics (2), Logic (2)
- Geometry and topology:
- Analysis on manifolds (1), Introduction to algebraic geomety (1), Riemann surfaces (2)
- Numerical mathematics:
- Computer aided geometric design (1), Numerical integration and ordinary differential equations (1), Iterative numerical methods in linear algebra (2)
- Probability, statistics and financial mathematics:
- Probability 2 (1), Financial mathematics 2 (1), Statistics 2 (1), Actuarial mathematics: life insurance (2), Financial mathematics 3: interest rate modeling (2), Optimisation in finance (2), Topics in game theory (2)
- Computer science and mathematics:
- Computability theory (1), Topics in optimization (1), Computational geometry (2), Advanced machine learning (2)
- Other:
- Modern physics (1), Workplace experience (1 or 2), Mathematics in industry (1 or 2)

## Courses in the academic year 2021/22

1 in parenthesis means first semester (October-January), 2 means second semester (February-June)- Analysis:
- Complex analysis (1), Functional analysis (2), Measure theory (1), Trace ideals and applications (2)
- Algebra and discrete mathematics:
- Cardinal arithmetic (2), Combinatorics (1), Commutative algebra (2), Theory of groups and semigroups (1)
- Geometry and topology:
- Algebraic topology 1 (1), Algebraic topology 2 (2), Lie groups (2)
- Numerical mathematics:
- Numerical approximation and interpolation (1), Numerical methods for linear control systems (2), Numerical solving of partial differential equations (2)
- Probability, statistics and financial mathematics:
- Actuarial mathematics: non-life insurance (1), Bayesian statistics (1), Financial mathematics 2 (1), Numerical methods for financial mathematics (2), Probability 2 (1), Risk management (2), Time Series (2)
- Computer science and mathematics:
- Computational complexity (1), Logic in computer science (2), Mathematics with computers (2), Probabilistic methods in computer science (1), Theory of programming languages (2)
- Other:
- Astronomy (1 and 2), Mathematics in industry (1 or 2), Workplace experience (1 or 2)

## All courses

Courses written **in red** are offered at least once every two years.

- Analysis:
- Analytical mechanics,
**Complex analysis**, Continuum mechanics, Dynamical systems, Fluid mechanics, Functional analysis, Introduction to C*-algebras,**Introduction to functional analysis**, Introduction to harmonic analysis,**Measure theory**, Mechanics of deformable solids, Operator theory,**Partial differential equations**, Special functions - Algebra and discrete mathematics:
- Applied discrete mathematics, Cardinal arithmetic,
**Combinatorics**,**Commutative algebra**,**Graph theory**, Logic, Non-associative algebra,**Non-commutative algebra**, Number theory, Order structures, Theory of groups and semigroups, Topics in discrete mathematics - Geometry and topology:
**Algebraic topology 1**, Algebraic topology 2,**Analysis on manifolds**, Convexity, Differential geometry, Introduction to algebraic geometry, Lie groups, Riemann surfaces- Numerical mathematics:
**Computer aided (geometric) design**, Iterative numerical methods in linear algebra,**Numerical approximation and interpolation**, Numerical integration and ordinary differential equations, Numerical methods for linear control systems, Numerical solving of partial differential equations- Probability, statistics and financial mathematics:
**Actuarial mathematics**, Bayesian statistics, Econometrics,**Financial mathematics 2**, Financial mathematics 3, Modelling with stochastic processes, Numerical methods in financial mathematics, Optimisation in finance,**Probability 2**, Riesz spaces in financial mathematics,**Statistics 2**, Stochastic processes 2, Stochastic processes 3, Time series, Topics in financial mathematics 1, Topics in financial mathematics 2, Topics in game theory- Computer science and mathematics:
- Alternative computing models, Coding theory and cryptography 2, Computability theory, Computational complexity,
**Computational geometry**, Computational topology, Cryptography and computer security, Data analysis and visualisation, Data mining and machine learning, Data structures and algorithms 3,**Logic in computer science**,**Mathematics with computers**, Optimisation 2,**Probabilistic methods in computer science**, Symbolic computation, Topics in computer science, Theory of programming languages, Topics in optimisation - Other:
**Astronomy**,**Mathematical models in biology**, Mathematics in industry,**Modern physics**, Theoretical physics, Workplace experience- Faculty of Computer and Information Science courses (for Computer Science and Mathematics students)
- Current research topics, Digital signal processing, Information security and privacy, Interaction and information design, Topics in computer and information science, Computability and computational complexity, Soft computing and natural algorithms, Unconventional computing, Biomedical signal and image processing, Data mining, Teaching algorithmic thinking, Digital forensics, Computer-based sound production, Cloud computing, Computer systems, Modern software development methods, Web information extraction and retrieval, Machine learning, Theory of programming languages, Artificial intelligence, Introduction to bioinformatics, Perception in cognitive systems
- Faculty of Economics courses (for Financial Mathematics students)
- Taxes and tax harmonisation in EU, Econometrics 2, Econometrics of time series and panel data, Labour market economics, Economic integrations and EU, Economic policy of EU, Financial analysis 2, Financial economics, Public finance, Quantitative behavioural finance, Macroeconomics 3, Management of financial institutions 2, International finance 2, Microeconomics 3, Models of monetary policy, Asset pricing models, Risk management, Business finance 2, General insurance, Theory of financial brokerage, Theory of information and contracts in finance, Asset and liability management, Insurance finance, Merges and acquisitions, Life and retirement insurance